2021 Fall AMC 10A Problems/Problem 6
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Problem
Elmer the emu takes equal strides to walk between consecutive telephone poles on a rural road. Oscar the ostrich can cover the same distance in
equal leaps. The telephone poles are evenly spaced, and the
st pole along this road is exactly one mile (
feet) from the first pole. How much longer, in feet, is Oscar's leap than Elmer's stride?
Solution
There are gaps between the
telephone poles, so the distance of each gap is
feet.
Each of Oscar's leap covers feet, and each of Elmer's strides covers
feet. Therefore, Oscar's leap is
feet longer than Elmer's stride.
~MRENTHUSIASM